Question

Length of an aluminum wire is 100 cm, what will be the increase in its length when its temperature is
increased to 50°C from 30°C? Coefficient of linear expansion for aluminum is 26×10-6/°C.

Answer 1

this question is based on thermal linear expansion .

use formula,
L = L°( 1 + a∆T )

where L is final length of wire
L° is initial length of wire .
a is coefficient of thermal expansion .
∆T is temperature difference .

now ,

L = 100{1 + (50-30)×26× 10^-6}

= 100 × { 1 + 20 × 26 × 10^-6}

= 100{ 1 + 520× 10^-6}

= 100{ 1 + 0.000520 )

= 100 × 1.000520

= 100.0520 cm

hence increase in length = L - L°
= 100.0520 - 100 = 0.052 cm

Answer 2

Answer:

i had done it myself please mark it as Brain list